Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions

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Original research article

Author(s):

Mohamed Houas

Department of Mathematics, UDBKM, Khemis Miliana University, Khemis Miliana, Algeria

Advances in the Theory of Nonlinear Analysis and its Applications 5(3), 316-329.

Received: February 1, 2020

Accepted: April 23, 2021

Published: April 30, 2021

Abstract

In this work, we study the existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations involving two Caputo–Hadamard type fractional derivatives. By applying Banach’s fixed point theorem and Schauder’s fixed point theorem, the existence of solutions is established. The results obtained in this work are well illustrated with the aid of examples.

Keywords: Caputo–Hadamard fractional calculus; Existence; Boundary conditions; Fixed point theorem.

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APA Style

Mohamed, H. (2021). Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤ erential equations with Hadamard fractional integral conditions. Advances in the Theory of Nonlinear Analysis and its Application, 5(3), 316-329.